PPT-C omputational Complexity Theory

Lecture 1 Intro Turing machines Class P and NP Indian Institute of Science About the course Computational complexity attempts to classify computational problems. How to celebrate it, leverage it, and NOT avoid it!. Are YOU sufficiently complex?. Simple = Best. FROM OCCAM’S . RAZOR. COMPLEXITY. Are YOU sufficiently complex?. Simple = Best. Simple but no. Simpler. Defining sustainable development. Sustainability : Defining sustainable development in broader terms. Sustainability Science: Criticisms of current approaches. Complexity and complex adaptive systems. and . Hierarchy. Concept of Complexity. “whole is more than the sum of its parts”. Holism. new properties not found in subsystems. “mechanistic explanations of emergence rejected”. Weaker view of emergence. How complexity permits ethnic nationalists and multiculturalists to rub along together. Eric Kaufmann, Birkbeck College, University of London. e.kaufmann@bbk.ac.uk. The Communitarian Challenge. Starting point is Rawls' . Lecture 1: . Intro; Turing machines; . Class P and NP . . . Indian Institute of Science. About the course. Computational complexity attempts . to classify computational . problems. Adaptive management in a volatile and complex world. Dr Jean Boulton. Visiting Senior Research Fellow, DSPS, University of Bath. Visiting Fellow, . Cranfield. School of Management. Director, Claremont Management Consultants Ltd. Lecture 2: . Reductions. , . NP-completeness, . Cook-Levin theorem . . . Indian Institute of Science. Recap: Class P and FP. A language . L . ⊆ {0,1}* . is in . P . if. There’s a . Lecture 5:. . Class co-NP and EXP;. . . Diagonalization. . . Indian Institute of Science. Recap: Alternate definition of NP. Definition.. An NTM . M. . accepts. a string . Lecture 9:. Read once certificates;. . NL = co-NL. . . Indian Institute of Science. Recap: PSPACE-completeness. Recall, to define completeness of a complexity class, we need an appropriate notion of a . Lecture 7:. . Relativization. (contd.);. . Space complexity. . . Indian Institute of Science. Recap: Limits of . diagonalization. Like in the proof of . P ≠ EXP. , can we use . Miles A. Zachary. Authors. Steve Maguire- McGill University. Assistant Professor of Strategy and Organization. Ph.D. at H.E.C.-Montreal (2000). Bill . McKelvey. - UCLA. Professor of Strategic Organizing and Complexity Science. June 1, 2013. Mark Braverman. Princeton University. a tutorial. Part I: Information theory. Information theory, in its modern format was introduced in the 1940s to study the problem of transmitting data over physical channels. . or email Marjorieuviccax0000x0000Complexity Science in Briefx0000x0000 August 2012ReferencesBenhamHutchins M Clancy T 2010 Social networks as embedded complex adaptive systemsJONA 409 352356Dekker Dagstuhl Workshop. March/. 2023. Igor Carboni Oliveira. University of Warwick. 1. Join work with . Jiatu. Li (Tsinghua). 2. Context. Goals of . Complexity Theory. include . separating complexity classes.